5153034400 has 144 divisors (see below), whose sum is σ = 13048602336. Its totient is φ = 1985541120.

The previous prime is 5153034361. The next prime is 5153034413. The reversal of 5153034400 is 44303515.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3166387 + ... + 3168013.

It is an arithmetic number, because the mean of its divisors is an integer number (90615294).

Almost surely, 2^5153034400 is an apocalyptic number.

5153034400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5153034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6524301168).

5153034400 is an abundant number, since it is smaller than the sum of its proper divisors (7895567936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5153034400 is a wasteful number, since it uses less digits than its factorization.

5153034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 5153034400 is about 71784.6390253514. The cubic root of 5153034400 is about 1727.2466030129.

Adding to 5153034400 its reverse (44303515), we get a palindrome (5197337915).

The spelling of 5153034400 in words is "five billion, one hundred fifty-three million, thirty-four thousand, four hundred".